Pith Number

pith:HP4UISZW

pith:2004:HP4UISZWRQGVCC7MG2FEOLLYAU

not attested not anchored not stored refs pending

Classical information deficit and monotonicity on local operations

Barbara Synak, Michal Horodecki

arxiv:quant-ph/0403167 v1 · 2004-03-23 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HP4UISZWRQGVCC7MG2FEOLLYAU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T16:50:15.077241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf9444b368c0d510bec368a472d78052d6e91844c7e29c37689fdf10df9f0e0

Aliases

arxiv: quant-ph/0403167 · arxiv_version: quant-ph/0403167v1 · doi: 10.48550/arxiv.quant-ph/0403167 · pith_short_12: HP4UISZWRQGV · pith_short_16: HP4UISZWRQGVCC7M · pith_short_8: HP4UISZW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HP4UISZWRQGVCC7MG2FEOLLYAU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3bf9444b368c0d510bec368a472d78052d6e91844c7e29c37689fdf10df9f0e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f24865f2117a489e9340b4dc37324c51882d1b067823325657a0dd57586b93",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-03-23T20:07:39Z",
    "title_canon_sha256": "4ff5d6aacf5da48e144e9b71ff0de28b1b074f1e4616d53d829649fe4f58f8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0403167",
    "kind": "arxiv",
    "version": 1
  }
}